Where to look for solving the gauge hierarchy problem?

Abstract

A mass of the Higgs boson close to 126 GeV may give a hint that the standard model of particle physics is valid up to the Planck scale. We discuss perspectives for the solution of the gauge hierarchy problem at high scales. Scenarios with an ultraviolet fixed point have predicted a Higgs boson mass very close to 126 GeV if the fixed point value of the quartic scalar coupling is small. In this case the top quark pole mass should be close to 172 GeV.

additional references, somewhat extended discussion, 5 pages

References in corpus (3)

• Three-loop β-functions for top-Yukawa and the Higgs self-interaction in the Standard Model
• Planck Scale Boundary Conditions and the Higgs Mass
• Gauge Coupling Beta Functions in the Standard Model to Three Loops

Cited by in corpus (29)

• Quantum gravity fluctuations flatten the Planck-scale Higgs potential
• Higgs scalar potential in asymptotically safe quantum gravity
• Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system
• Gauge hierarchy problem in asymptotically safe gravity--the resurgence mechanism
• Inflation, quintessence, and the origin of mass
• A Shift Symmetry in the Higgs Sector: Experimental Hints and Stringy Realizations
• Criteria for Natural Hierarchies
• The Higgs mass from a String-Theoretic Perspective
• The Intermediate Scale MSSM, the Higgs Mass and F-theory Unification
• Novel Higgs Potentials from Gauge Mediation of Exact Scale Breaking
• Radiative symmetry breaking from interacting UV fixed points
• Gravity, Scale Invariance and the Hierarchy Problem
• Cosmon inflation
• Fermion masses, critical behavior and universality
• One residue to rule them all: Electroweak symmetry breaking, inflation and field-space geometry
• Asymptotic Scale Invariance and its Consequences
• Philosophical perspectives on ad hoc hypotheses and the Higgs mechanism
• Hidden and explicit quantum scale invariance
• Dimensional regularization, Wilsonian RG, and the Naturalness/Hierarchy problem
• A complete asymptotically safe embedding of the Standard Model
• A Walking Dilaton Inflation
• Physical Tuning and Naturalness
• High scale boundary conditions with an additional complex singlet
• High Scale Boundary Conditions in Models with Two Higgs Doublets
• Effective scalar potential in asymptotically safe quantum gravity
• The SM and SUSY after the 2011 LHC results
• A technique for natural gauge boson masses
• Peccei-Quinn Symmetry Breaking via Asymptotically Safe Dynamical Scalegenesis: A Walking Axicolor and Axion
• Naturalness, Wilsonian Renormalization, and "Fundamental Parameters" in Quantum Field Theory